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Amount of An Annuity: ((1 + i)n-1)/i

If a principal A is invested at the end of each year at interest rate i compounded annually, then at the end of n years the accumulated amount is F = A((1 + i)n-1)/i. The ((1 + i)n-1)/i is the compound amount if $1 invested at the end of each year.

How To Use:

  • You need to find the compound amount of an annuity in which $1000 is invested at the end of each year, after being invested for 5 years at 7½% interest rate p.a.
  • Find the column with N Years = 5
  • Find the row 7½%, the number inside the cell is 5.80839
  • After 5 years, the compound amount would be 1000 × 5.80839 = $5808.39
i %N Years
12345678910
11.000002.010003.030104.060405.101016.152027.213548.285679.3685310.4622
1.000002.012503.037664.075635.126576.190657.268048.358899.4633710.5817
1.000002.015003.045224.090905.152276.229557.322998.432849.5593310.7027
1.000002.017503.052814.106235.178096.268717.378418.507539.6564110.8254
21.000002.020003.060404.121615.204046.308127.434288.582979.7546310.9497
1.000002.022503.068014.137045.230126.347807.490628.659169.8539911.0757
1.000002.025003.075634.152525.256336.387747.547438.736129.9545211.2034
1.000002.027503.083264.168055.282676.427947.604718.8138410.056211.3328
31.000002.030003.090904.183635.309146.468417.662468.8923410.159111.4639
1.000002.032503.098564.199265.335746.509157.720698.9716210.263211.5967
1.000002.035003.106224.214945.362476.550157.779419.0516910.368511.7314
1.000002.037503.113914.230685.389336.591437.838619.1325510.475011.8678
12345678910
41.000002.040003.121604.246465.416326.632987.898299.2142310.582812.0061
1.000002.042503.129314.262305.443456.674807.958489.2967110.691812.1462
1.000002.045003.137024.278195.470716.716898.019159.3800110.802112.2882
1.000002.047503.144764.294135.498106.759268.080339.4641410.913712.4321
51.000002.050003.152504.310135.525636.801918.142019.5491111.026612.5779
1.000002.052503.160264.326175.553296.844848.204209.6349211.140712.7256
1.000002.055003.168034.342275.581096.888058.266899.7215711.256312.8754
1.000002.057503.175814.358425.609026.931548.330119.8090911.373113.0271
61.000002.060003.183604.374625.637096.975328.393849.8974711.491313.1808
1.000002.062503.191414.390875.665307.019388.458099.9867211.610913.3366
1.000002.065003.199234.407175.693647.063738.5228710.076911.731913.4944
1.000002.067503.207064.423535.722127.108368.5881810.167911.854213.6544
12345678910
71.000002.070003.214904.439945.750747.153298.6540210.259811.978013.8164
1.000002.072503.222764.456415.779507.198518.7204010.352612.103213.9807
1.000002.075003.230624.472925.808397.244028.7873210.446412.229814.1471
1.000002.077503.238514.489495.837437.289838.8547910.541012.358014.3157
81.000002.080003.246404.506115.866607.335938.9228010.636612.487614.4866
1.000002.082503.254314.522795.895927.382338.9913710.733212.618614.6597
1.000002.085003.262224.539515.925377.429039.0605010.830612.751214.8351
1.000002.087503.270164.556295.954977.476039.1301810.929112.885415.0128
91.000002.090003.278104.573135.984717.523339.2004311.028513.021015.1929
1.000002.092503.286064.590026.014597.570949.2712611.128813.158315.3754
1.000002.095003.294024.606966.044627.618869.3426511.230213.297115.5603
1.000002.097503.302014.623956.074797.667089.4146211.332513.437515.7476
101.000002.100003.310004.641006.105107.715619.4871711.435913.579515.9374


i %N Years
11121314151617181920
111.566812.682513.809314.947416.096917.257918.430419.614720.810922.0190
11.713912.860414.021115.196416.386317.591218.811120.046221.296822.5630
11.863313.041214.236815.450416.682117.932419.201420.489421.796723.1237
12.014813.225114.456515.709516.984418.281719.601620.944622.311223.7016
212.168713.412114.680315.973917.293418.639320.012121.412322.840624.2974
12.324913.602214.908316.243717.609219.005420.433021.892823.385324.9115
12.483513.795615.140416.519017.931919.380220.864722.386323.946025.5447
12.644413.992115.376916.799818.261819.764021.307522.893424.523026.1974
312.807814.192015.617817.086318.598920.156921.761623.414425.116926.8704
12.973614.395315.863117.378718.943520.559222.227323.949725.728127.5642
13.142014.602016.113017.677019.295720.971022.705024.499726.357228.2797
13.312914.812116.367617.981419.655721.392723.195025.064827.004729.0174
11121314151617181920
413.486415.025816.626818.291920.023621.824523.697525.645427.671229.7781
13.662415.243116.890918.608820.399722.266624.213026.242028.357330.5625
13.841215.464017.159918.932120.784122.719324.741726.855129.063631.3714
14.022615.688717.433919.262021.177023.182925.284027.485029.790632.2056
514.206815.917117.713019.598621.578623.657525.840428.132430.539033.0660
14.393716.149417.997219.942121.989124.143526.411028.797631.309533.9532
14.583516.385618.286820.292622.408724.641126.996429.481232.102734.8683
14.776116.625718.581720.650222.837625.150727.596930.183732.919335.8121
614.971616.869918.882121.015123.276025.672528.212930.905733.760036.7856
15.170117.118219.188121.387423.724126.206928.844831.647634.625637.7897
15.371617.370719.499821.767324.182226.754029.493032.410135.516738.8253
15.576017.627419.817322.154924.650427.314330.158033.193736.434339.8936
11121314151617181920
715.783617.888520.140622.550525.129027.888130.840233.999037.379040.9955
15.994318.153920.470022.954125.618328.475631.540134.826738.351742.1322
16.208118.423720.805523.365926.118429.077232.258035.677439.353243.3047
16.425218.698121.147223.786126.629629.693432.994636.551740.384444.5142
816.645518.977121.495324.214927.152130.324333.750237.450241.446345.7620
16.869119.260821.849824.652427.686330.970434.525438.373842.539647.0491
17.096119.549222.210925.098928.232331.632035.320739.323043.665448.3770
17.326519.842522.578725.554428.790432.309636.136640.298644.824749.7469
917.560320.140722.953426.019229.360933.003436.973741.301346.018551.1601
17.797620.443923.335026.493529.944133.713937.832542.332047.247752.6181
18.038520.752223.723626.977430.540234.441638.713543.391348.513554.1222
18.283021.065624.119527.471231.149635.186739.617444.480149.816955.6740
1018.531221.384324.522727.975031.772535.949740.544745.599251.159157.2750


i %N Years
21222324252627282930
123.239224.471625.716326.973528.243229.525630.820932.129133.450434.7849
23.845025.143126.457427.788129.135430.499631.880933.279434.695436.1291
24.470525.837627.225128.633530.063031.514032.986734.481535.998737.5387
25.116426.555928.020729.511031.027532.570434.140435.737937.363339.0172
225.783327.299028.845030.421932.030333.670935.344337.051238.792240.5681
26.472028.067629.699231.367433.073234.817336.600738.424240.288842.1953
27.183328.862930.584432.349034.157836.011737.912039.859841.856343.9027
27.917829.685631.501933.368235.285837.256239.280841.361043.498445.6946
328.676530.536832.452934.426536.459338.553040.709642.930945.218947.5754
29.460131.417533.438635.525437.679939.904542.201444.573047.021649.5498
30.269532.328934.460436.666538.949941.313143.759146.290648.910851.6227
31.105533.272035.519737.851740.271142.781345.385648.087550.890853.7992
21222324252627282930
431.969234.248036.617939.082641.645944.311747.084249.967652.966356.0849
32.861435.258037.756540.361143.076545.907248.858351.934855.142058.4855
33.783136.303438.937041.689244.565247.570650.711353.993357.423061.0071
34.735437.385340.161143.068846.114649.305052.647056.147759.814763.6559
535.719338.505241.430544.502047.727151.113554.669158.402662.322766.4388
36.735839.664442.746845.991049.405552.999356.781860.762864.952969.3629
37.786140.864344.111847.538051.152654.966058.989163.233567.711472.4355
38.871342.106445.527549.145452.971257.017161.295665.820170.604775.6645
639.992743.392346.995850.815654.864559.156463.705868.528173.639879.0582
41.151544.723548.518752.551156.835661.387866.224571.363576.823882.6253
42.349046.101650.098254.354658.887763.715468.856974.332680.164286.3749
43.586447.528551.736656.228961.024366.143571.608177.441783.669090.3167
21222324252627282930
744.865249.005753.436158.176763.249068.676574.483880.697787.346594.4608
46.186750.535355.199160.201065.565671.319177.489784.107791.205598.8179
47.552552.119057.027962.305067.977974.076280.631987.679395.2553103.399
48.964153.758858.925164.491870.489976.952983.916791.420399.5053108.217
850.422955.456860.893366.764873.105979.954487.350895.3388103.966113.283
51.930757.215062.935269.127475.830483.086490.941099.4436108.648118.611
53.489159.035665.053771.583278.667886.354694.6947103.744113.562124.215
55.099760.921067.251674.136181.623089.765098.6194108.249118.720130.108
956.764562.873369.531976.789884.700993.3240102.723112.968124.135136.308
58.485364.895171.898079.548587.906797.0381107.014117.913129.820142.828
60.263866.988974.352982.416491.2459100.914111.501123.094135.788149.688
62.102269.157276.900085.397894.7241104.960116.193128.522142.053156.903
1064.002571.402779.543088.497398.3471109.182121.100134.210148.631164.494


i %N Years
31323334353637383940
136.132737.494138.869040.257741.660343.076944.507645.952747.412348.8864
37.580739.050440.538642.045343.570945.115546.679448.262949.866251.4896
39.101840.688342.298643.933145.592147.276048.985150.719952.480754.2679
40.700042.412244.154445.927147.730849.566151.433553.333655.267057.2341
242.379444.227046.111648.033849.994551.994454.034356.114958.237260.4020
44.144746.137948.176050.260052.390854.569656.797459.075461.404663.7862
46.000348.150350.354052.612954.928257.301459.733962.227364.783067.4026
47.951250.269952.652355.100257.615560.199962.855465.583968.387571.2681
350.002752.502855.077857.730260.462163.275966.174269.159472.234275.4013
52.160254.855457.638260.511463.478066.541169.703772.969076.340579.8216
54.429557.334560.341263.453266.674070.007673.457977.028980.724984.5503
56.816759.947363.195466.565270.061473.688777.452081.356585.407389.6101
31323334353637383940
459.328362.701566.209569.857973.652277.598381.702285.970390.409195.0255
61.971265.604969.393173.342477.459481.751486.225990.890595.7533100.823
64.752468.666272.756277.030381.496686.164091.041396.1382101.464107.030
67.679671.894476.309480.934185.778490.852996.1684101.736107.569113.678
570.760875.298880.063885.067090.320395.8363101.628107.710114.095120.800
74.004478.889784.031489.443095.1388101.134107.443114.084121.073128.430
77.419482.677588.224894.0771100.251106.765113.637120.887128.536136.606
81.015286.673692.657398.9851105.677112.753120.236128.150136.519145.369
684.801790.889897.3432104.184111.435119.121127.268135.904145.058154.762
88.789395.3387102.297109.691117.547125.893134.762144.184154.196164.833
92.9892100.034107.536115.526124.035133.097142.748153.027163.974175.632
97.4130104.988113.075121.708130.923140.760151.262162.472174.439187.213
31323334353637383940
7102.073110.218118.933128.259138.237148.913160.337172.561185.640199.635
106.982115.738125.130135.201146.003157.589170.014183.340197.632212.960
112.154121.566131.683142.560154.252166.820180.332194.857210.471227.257
117.604127.718138.616150.359163.012176.645191.335207.164224.219242.596
8123.346134.214145.951158.627172.317187.102203.070220.316238.941259.057
129.397141.072153.710167.391182.201198.233215.587234.373254.709276.722
135.773148.314161.920176.684192.702210.081228.938249.398271.597295.683
142.493155.961170.608186.536203.858222.695243.181265.459289.687316.035
9149.575164.037179.800196.982215.711236.125258.376282.630309.066337.882
157.040172.566189.528208.060228.305250.424274.588300.987329.828361.338
164.908181.574199.824219.807241.688265.649291.886320.615352.073386.520
173.201191.088210.719232.265255.910281.862310.343341.602375.908413.559
10181.943201.138222.252245.477271.024299.127330.039364.043401.448442.593


i %N Years
41424344454647484950
150.375251.879053.397854.931856.481158.045959.626361.222662.834864.4632
53.133254.797356.482358.188359.915761.664663.435465.228467.043768.8818
56.081957.923159.792061.688963.614265.568467.551969.565271.608773.6828
59.235761.272463.344665.453267.598669.781672.002774.262876.562478.9022
262.610064.862267.159569.502771.892774.330676.817279.353581.940684.5794
66.221468.711371.257473.860676.522579.244382.027384.872987.782590.7576
70.087672.839875.660878.552381.516184.554087.667990.859694.131197.4843
74.228077.269380.394283.605086.904290.294093.777197.3560101.033104.812
378.663382.023285.483989.048492.719996.5015100.397104.408108.541112.797
83.415887.126890.958494.914698.9993103.217107.571112.067116.710121.503
88.509592.607496.8486101.238105.782110.484115.351120.388125.602130.998
93.970598.4944103.188108.057113.110118.351123.789129.431135.285141.358
41424344454647484950
499.8265104.820110.012115.413121.029126.871132.945139.263145.834152.667
106.108111.617117.361123.349129.591136.099142.883149.956157.329165.015
112.847118.925125.276131.914138.850146.098153.673161.588169.859178.503
120.078126.782133.804141.160148.865156.936165.390174.246183.523193.240
5127.840135.232142.993151.143159.700168.685178.119188.025198.427209.348
136.172144.321152.898161.925171.426181.426191.951203.028214.687226.959
145.119154.100163.576173.573184.119195.246206.984219.368232.434246.217
154.727164.624175.090186.158197.862210.239223.327237.169251.806267.285
6165.048175.951187.508199.758212.744226.508241.099256.565272.958290.336
176.135188.143200.902214.459228.862244.166260.427277.703296.060315.564
188.048201.271215.354230.352246.325263.336281.453300.747321.295343.180
200.850215.407230.947247.536265.245284.149304.329325.871348.868373.416
41424344454647484950
7214.610230.632247.776266.121285.749306.752329.224353.270378.999406.529
229.400247.032265.941286.222307.973331.301356.321383.154411.932442.798
245.301264.698285.551307.967332.065357.969385.817415.753447.935482.530
262.397283.733306.722331.493358.184386.943417.931451.321487.298526.064
8280.781304.244329.583356.950386.506418.426452.900490.132530.343573.770
300.552326.347354.271384.498417.219452.640490.983532.489577.419626.056
321.816350.170380.934414.314450.530489.825532.461578.720628.911683.368
344.688375.848409.735446.586486.663530.246577.642629.186685.240746.198
9369.292403.528440.846481.522525.859574.186626.863684.280746.866815.084
395.761433.369474.456519.343568.382621.958680.489744.434814.294890.616
424.239465.542510.769560.292614.519673.899738.919810.116888.077973.445
454.881500.232550.004604.630664.581730.378802.590881.842968.8221064.28
10487.852537.637592.401652.641718.905791.795871.975960.1721057.191163.91


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